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Punctured complex plane
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Mathematics
Area of mathematics
Analysis
Complex analysis
Riemann surfaces
Punctured Riemann surface
Created
2026-09-24
Updated
2026-09-24
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The punctured
plane
C
∗
is
a
connected
Riemann surface
homeomorphic to
a
cylinder
.
Table of contents
Cylinder as a punctured plane
Punctured complex plane
Cylinder as a punctured plane
0
0
0
Punctured complex plane
Polar coordinates
give
C
∗
≅
S
1
×
R
after taking logarithmic
radius
.
Ancestors
(7)
Punctured Riemann surface
Riemann surfaces
Complex analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(2)
Log modulus has no global harmonic conjugate on the punctured plane
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ii
/
Paper 1
/
24F
/
b
/
Solution
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(1)
codex/punctured-plane
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